144 citations · 316 across the 8 of their papers we have counts for
8 papers
Subrecursive Approximations of Irrational Numbers by Variable Base Sums
Ivan Georgiev, Lars Kristiansen, Frank Stephan
There are numerous ways to represent real numbers. We may use, e.g., Cauchy sequences, Dedekind cuts, numerical base-10 expansions, numerical base-2 expansions and continued fracti…
Characterization theorem for the conditionally computable real functions
Ivan Georgiev
The class of uniformly computable real functions with respect to a small subrecursive class of operators computes the elementary functions of calculus, restricted to compact subset…
Conditional computability of real functions with respect to a class of operators
Ivan Georgiev, Dimiter Skordev
For any class of operators which transform unary total functions in the set of natural numbers into functions of the same kind, we define what it means for a real function to be un…
Cluster growth and dynamic scaling in a two-lane driven diffusive system
I. T. Georgiev, B. Schmittmann, R. K. P. Zia
Using high precision Monte Carlo simulations and a mean-field theory, we explore coarsening phenomena in a simple driven diffusive system. The model is reminiscent of vehicular tra…
Phase Transitions and Spatio-Temporal Fluctuations in Stochastic Lattice Lotka-Volterra Models
Mauro Mobilia, Ivan T. Georgiev, Uwe C. Tauber
We study the general properties of stochastic two-species models for predator-prey competition and coexistence with Lotka-Volterra type interactions defined on a -dimensional la…
Fluctuations and Correlations in Lattice Models for Predator-Prey Interaction
Mauro Mobilia, Ivan T. Georgiev, Uwe C. Tauber
Including spatial structure and stochastic noise invalidates the classical Lotka-Volterra picture of stable regular population cycles emerging in models for predator-prey interacti…